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Finding the Fourth Proportional to 455,988.16, 683,982.24 and 123,564.16

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Solution

The fourth proportional to 455,988.16, 683,982.24 and 123,564.16 is: 185,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,988.16 : 683,982.24 = 123,564.16 : x
  2. Step 2: Convert to fraction form
    455,988.16/683,982.24 = 123,564.16/x
  3. Step 3: Cross multiply
    455,988.16x = 683,982.24 × 123,564.16
  4. Step 4: Simplify right side
    455,988.16x = 84,515,690,940.52
  5. Step 5: Solve for x
    x = 84,515,690,940.52/455,988.16
  6. Step 6: Final answer
    x = 185,346.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.